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Q: Which of the binomials below is a factor of this trinomial x2 plus 5x plus 6?

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x - 4 APEX

(x + 12)(x + 7)

(x + 10)(x + 4)

(x - 4) or (x + 8)

(x-4)(x-1)

(x - 6)(x - 7)

(x + 11) and/or (x - 6)

(X + 2)(X + 4) Factored

X - 4

x2-5x+4 = (x-1)(x-4) when factord

You didn't bother to list the binomials to choose from, but the two binomial factors of x2 + 6x - 40 are (x + 10) and (x - 4)

X2 + 2X - 35(X - 5)(X + 7)================take your pick of these two binomials

The factors of the expression, x2 + 3x - 4 are (x + 4) and (x - 1). As no binomials have been shown then the answer can be checked against the missing expressions to see if there is a match.

If that's 6x - 40, and one of the choices is either (x + 10) or (x - 4), pick that one.

X^2 - 13X + 30 = 0 (X-3)(X-10) easy inspection problem

That will depend on the plus or minus value of 40 which has not been given. If it's +40 then when factored it is (x-5)(x-8)

x2-5x+4 = (x-1)(x-4) when factored

(3x + 1)(x + 6)

The list of choices that you posted with your question doesn't include any factor of that expression.

(3X + 9) (X + 9)

That factors to (x - 14)(x - 2)

(5x - 4)(3x + 5)

(x+6)(X+20)

Either x + 3 or x + 2

(x + 1)(x + 5)